**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30855

##### Simulation of Sloshing-Shear Mixed Shallow Water Waves (II) Numerical Solutions

**Authors:**
Iau-Teh Wang,
Weihao Chung,
Yu-Hsi Hu

**Abstract:**

**Keywords:**
potential flow theory,
sloshing flow,
space-timefiltering,
order of accuracy

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1331683

**References:**

[1] D. K. Lilly, "The representation of small-scale turbulence in numerical simulation experiments," Proc. IBM Sci. Comput. Symposium Environ. Sci., IBM Data Process Div., White Plains, N.Y., pp. 195-210, 1967.

[2] J. W. Deardorff, "A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers," J. Fluid Mech., vol. 41, pp. 453-480, 1970.

[3] P. J. Mason, and N. S. Callen, "On the magnitude of the subgrid-scale eddy coefficient in large eddy simulations of turbulent channel flow," J. Fluid Mech., vol. 162, pp. 439-462, 1986.

[4] J. Constantin, M. G. Inclan, and M. Raschendorfer, "The energy budget of a spruce forest: field measurements and comparison with the forest-land-atmosphere model (FLAME)," J. of Hydrology, pp. 212-213, 22-35, 1998.

[5] C. Babajimopoulos, and K. Bedford, "Formulating lake models with preserve spectral statistics," J. Hydr. Div., ASCE, vol. 106, pp. 1-19, 1980.

[6] H. Schmidt, and U. Schumann, "Coherent structure of the convective boundary layer derived from large-eddy simulations," J. of Fluid Mech., vol. 200, pp. 511-565, Great Britain. 1989.

[7] C. B. Liao, M. F. Wu, and M. H. Gou, "Large eddy simulation of a round jet in a cross flow," Proceedings of the 13th hydraulic engineering conference, M14-M21, Taiwan. 2002.

[8] W. H. Chung, "Dependence of the Smagorinsky-Lilly-s constant on inertia, wind stress, and bed roughness for large eddy simulations," Journal of Mechanics, vol. 22, No. 2, pp. 125-136, 2006.

[9] G. T. Csanady, "Circulation in the Coastal Ocean," pp. 279, D. Reidel Pub. Co.., 1982.

[10] J. Amorocho, and J. J. Devries, "A new evaluation of the wind stress coefficient over water surfaces," J. Geophys. Res., vol. 85, pp. 433-442, 1980.

[11] W. H. Chung, "Dependence of the Smagorinsky-Lilly-s constant on inertia, wind stress, and bed roughness for large eddy simulations," Journal of Mechanics, vol. 22, No. 2, pp. 125-136, 2006.

[12] O. M. Faltinsen, "A numerical non-linear method of sloshing in tanks with two-dimensional flow," J. of Ship Research, vol. 18(4), pp. 224-241, 1978.

[13] T. M. Okamoto, and M. Kawahara, "Two-dimensional sloshing analysis by Lagrangian finite element method," International Journal for Numerical Methods in Fluids, vol. 11, pp. 453-477, 1990.

[14] W. Chen, M. A. Haroun, and F. Liu, "Large amplitude liquid sloshing in seismically excited tanks," Earthquake Engineering and Structural Dynamics, vol. 25, pp. 653-669, 1996.

[15] G. X. Wu, Q. W. Ma, and R. E. Taylor, "Numerical simulation of sloshing waves in a 3D tank based on a finite element method," Applied Ocean Research, vol. 20, pp. 337-355, 1998.

[16] O. M. Faltinsen, O. F. Rognebakke, and A. N. Imokha, "Resonant three-dimensional nonlinear sloshing in a square-base basin, Part 2. Effect of higher modes," J. Fluid Mech, vol. 523, pp. 199-218, 2002.

[17] O. M. Faltinsen, O. F. Rognebakke, and A. N. Timokha, "Transient and steady-state amplitudes of resonant three-dimensional sloshing in a square base thank with a finite fluid depth," Physics of Fluids, vol. 18, 012103, pp. 1-14, 2006.